A variational method in fixed point results with inwardness conditions

DOI10.1090/S0002-9939-06-08744-2zbMath1113.47044OpenAlexW2127817704MaRDI QIDQ3419941

Dominique Azé, Jean-Noël Corvellec

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08744-2

zbMATH Keywords

fixed pointsvariational methods

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items

Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions ⋮ On Reich’s fixed point problem ⋮ Nonlinear error bounds for lower semicontinuous functions on metric spaces ⋮ Fixed points of set-valued maps in locally complete spaces ⋮ ON FIXED POINTS OF GENERALIZED SET-VALUED CONTRACTIONS ⋮ General versions of the Ekeland variational principle: Ekeland points and stop and go dynamics ⋮ A contribution to Reich's conjecture ⋮ Maximality, fixed points and variational principles for mappings on quasi-uniform spaces

Cites Work

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• A fixed point theorem for weakly inward multivalued contractions
• On the variational principle
• Multi-valued contraction mappings
• Optimization and nonsmooth analysis
• The drop theorem, the petal theorem and Ekeland's variational principle
• A remark on weakly inward contractions
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Remarks to an equivalent formulation of ekeland’s variational principle
• Characterizations of error bounds for lower semicontinuous functions on metric spaces
• Multivalued nonexpansive mappings in Banach spaces

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